The first excited state of three-dimensional isotropic harmonic oscillator(of natural angular frequency wo and mass m) is three-dold degenerate,Use the perturbation inethod to calculate the splitting (to the first order)of this three-fold degenerate state due to a small perturbation of the formbry, where b is a constant. Give the first-order wave functions ofthe three split levels in terms of the wave functions of the unperturbedthree-dimensional harmonic oscillator, given that, for a onc-dimensionallharmonic oscillator,H'(n|x|n + 1)(n + 1)h2mwo

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